The generator matrix

 1  0  0  0  1  1  1  0  1  2  1  1  6  6  1  6  1  2  0  1  1  1  1  1  1  0  1  1
 0  1  0  0  0  1  1  1  6  0  5  5  1  1  6  4  1  6  1  4  0  5  3  6  5  1  4  4
 0  0  1  0  1  1  0  1  0  1  2  3  2  1  7  2  2  1  4  5  6  2  7  5  3  4  7  0
 0  0  0  1  1  0  1  1  3  1  2  7  5  4  2  1  6  7  2  5  4  3  2  0  2  1  5  0
 0  0  0  0  2  0  0  0  4  4  4  0  0  6  6  6  6  6  6  4  4  2  4  2  2  4  4  2
 0  0  0  0  0  4  0  4  4  4  4  0  4  0  0  4  0  4  4  0  0  0  0  4  0  0  4  0
 0  0  0  0  0  0  4  4  0  0  4  0  0  0  0  0  4  4  4  4  4  0  4  4  4  0  4  4

generates a code of length 28 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+104x^20+338x^21+801x^22+1796x^23+2847x^24+5474x^25+6756x^26+9868x^27+9528x^28+9698x^29+7063x^30+5536x^31+2781x^32+1742x^33+724x^34+332x^35+96x^36+28x^37+15x^38+4x^39+3x^40+1x^46

The gray image is a code over GF(2) with n=112, k=16 and d=40.
This code was found by Heurico 1.16 in 36.1 seconds.